Multiple choice

A started a business with a capital of Rs. 6400. Later, B joined the business with a capital of Rs. 8000. At the end of the year, they shared the profit in the ratio 6 : 5. After how many months did B join the business?

  1. 8

  2. 6

  3. 4

  4. 3
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

The ratio of profits is equal to the product of their capital and time period, giving the equation (6400 times 12) / (8000 times x) = 6/5. Solving 76800 / 8000x = 6/5 yields 9.6 / x = 1.2, which means x = 8. Therefore, B's money was invested for 8 months, showing he joined the business 4 months after it started.

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